Least Common Multiple of 684/46, 463/7301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/46, 463/7301 quickly i.e. 316692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/46, 463/7301 is 316692.

LCM(684/46, 463/7301) = 316692

LCM of 684/46, 463/7301

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 684/46,463/7301

Given numbers are 684/46,463/7301

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 684,463

Least Common Multiple of Numerators i.e. LCM of 684,463 is 316692.

GCF of Denominators means GCF of 46,7301 as per the given fractions.

GCF of 46,7301 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,463

LCM of Fractions 684/46,463/7301 is 316692

Given numbers has no common factors except 1. So, there LCM is their product i.e 316692

Least Common Multiple of 684,463 with GCF Formula

Least Common Multiple of 684,463 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 684,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,463) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(684,463) x common factors =1 x 1 = 1

LCM(684,463) = ( 684 × 463 ) / 1

LCM(684,463) = 316692 / 1

LCM(684,463) = 316692


Lets's calculate GCF of 46,7301

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316692/1

Therefore the LCM of Fractions 684/46,463/7301 is 316692

Greatest Common Factor of 46,7301 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,7301 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 7301

List of positive integer factors of 7301 that divides 7301 without a remainder.

1,7,49,149,1043,7301

Greatest Common Factor

We found the factors 46,7301 . The biggest common factor number is the GCF number.
So the greatest common factor 46,7301 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 684/46, 463/7301

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 684/46, 463/7301?

Answer: LCM of Numerators as per given numbers 684/46, 463/7301 is

LCM of Numerators i.e. for 684,463 is 316692

GCF of denominators i.e. for 46,7301 is 1.

Thus, LCM of Fractions is 316692.Finally, LCM of Fractions for 684/46, 463/7301 is 316692.